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Wilcoxon signed rank test : ウィキペディア英語版
Wilcoxon signed-rank test
The Wilcoxon signed-rank test is a non-parametric statistical hypothesis test used when comparing two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ (i.e. it is a paired difference test). It can be used as an alternative to the paired Student's t-test, ''t''-test for matched pairs, or the ''t''-test for dependent samples when the population cannot be assumed to be normally distributed.
The Wilcoxon signed-rank test is not the same as the Wilcoxon rank-sum test, although both are nonparametric and involve summation of ranks.
==History==
The test is named for Frank Wilcoxon (1892–1965) who, in a single paper, proposed both it and the rank-sum test for two independent samples (Wilcoxon, 1945). The test was popularized by Sidney Siegel (1956) in his influential text book on non-parametric statistics. Siegel used the symbol ''T'' for a value related to, but not the same as, W. In consequence, the test is sometimes referred to as the Wilcoxon ''T'' test, and the test statistic is reported as a value of ''T''.

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